Source authenticated

Erdős's Planar Unit Distance Conjecture

Conjectured upper bound on how many pairs among $n$ points in the plane can be exactly one unit apart.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: May 1, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: expert-verified. Publication: announcement. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Erdős's Planar Unit Distance Conjecture · Problem 90 · Unit Distance Conj.

Confidence: Not scored

Registry verification: expert verified · announcement · resolved

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Will Sawin
human · human collaborator

OpenAI frontier model (specific version not disclosed)
model · ai model contributor · OpenAI

Noga Alon
human · human collaborator

Thomas Bloom
human · human collaborator

Timothy Gowers
human · human collaborator

Daniel Litt
human · human collaborator

Jacob Tsimerman
human · human collaborator

Melanie Matchett Wood
human · human collaborator

Lineage and corrections

This event attributed to Melanie Matchett Wood

This event attributed to Will Sawin

This event attributed to Noga Alon

This event attributed to Thomas Bloom

This event attributed to Timothy Gowers

This event attributed to Daniel Litt

This event attributed to Jacob Tsimerman

This event attributed to OpenAI frontier model (specific version not disclosed)

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